Mapping Wigner distribution functions into semiclassical distribution functions
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.61.052114 http://hdl.handle.net/11449/228449 |
Resumo: | A mapping that relates the Wigner phase-space distribution function of a given stationary quantum mechanical wave function, a solution of the Schrödinger equation, to a specific solution of the Liouville equation, both subject to the same potential, is studied. By making this mapping, bound states are described by semiclassical distribution functions still depending on Planck’s constant, whereas for elastic scattering of a particle by a potential they do not depend on it, the classical limit being reached in this case. Following this method, the mapped distributions of a particle bound in the Pöschl-Teller potential and also in a modified oscillator potential are obtained. © 2000 The American Physical Society. |
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Repositório Institucional da UNESP |
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Mapping Wigner distribution functions into semiclassical distribution functionsA mapping that relates the Wigner phase-space distribution function of a given stationary quantum mechanical wave function, a solution of the Schrödinger equation, to a specific solution of the Liouville equation, both subject to the same potential, is studied. By making this mapping, bound states are described by semiclassical distribution functions still depending on Planck’s constant, whereas for elastic scattering of a particle by a potential they do not depend on it, the classical limit being reached in this case. Following this method, the mapped distributions of a particle bound in the Pöschl-Teller potential and also in a modified oscillator potential are obtained. © 2000 The American Physical Society.Instituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, São Paulo, 01405-900Pontifícia Universidade Católica de São Paulo, Rua Marquês de Paranaguá 111, São Paulo, 01303-000Instituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, São Paulo, 01405-900Universidade Estadual Paulista (UNESP)Pontifícia Universidade Católica de São PauloBund, G. W. [UNESP]Tijero, M. C.2022-04-29T08:26:50Z2022-04-29T08:26:50Z2000-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article8http://dx.doi.org/10.1103/PhysRevA.61.052114Physical Review A - Atomic, Molecular, and Optical Physics, v. 61, n. 5, p. 8-, 2000.1094-16221050-2947http://hdl.handle.net/11449/22844910.1103/PhysRevA.61.0521142-s2.0-85037202689Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-29T08:26:50Zoai:repositorio.unesp.br:11449/228449Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:37:10.757757Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Mapping Wigner distribution functions into semiclassical distribution functions |
title |
Mapping Wigner distribution functions into semiclassical distribution functions |
spellingShingle |
Mapping Wigner distribution functions into semiclassical distribution functions Bund, G. W. [UNESP] |
title_short |
Mapping Wigner distribution functions into semiclassical distribution functions |
title_full |
Mapping Wigner distribution functions into semiclassical distribution functions |
title_fullStr |
Mapping Wigner distribution functions into semiclassical distribution functions |
title_full_unstemmed |
Mapping Wigner distribution functions into semiclassical distribution functions |
title_sort |
Mapping Wigner distribution functions into semiclassical distribution functions |
author |
Bund, G. W. [UNESP] |
author_facet |
Bund, G. W. [UNESP] Tijero, M. C. |
author_role |
author |
author2 |
Tijero, M. C. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Pontifícia Universidade Católica de São Paulo |
dc.contributor.author.fl_str_mv |
Bund, G. W. [UNESP] Tijero, M. C. |
description |
A mapping that relates the Wigner phase-space distribution function of a given stationary quantum mechanical wave function, a solution of the Schrödinger equation, to a specific solution of the Liouville equation, both subject to the same potential, is studied. By making this mapping, bound states are described by semiclassical distribution functions still depending on Planck’s constant, whereas for elastic scattering of a particle by a potential they do not depend on it, the classical limit being reached in this case. Following this method, the mapped distributions of a particle bound in the Pöschl-Teller potential and also in a modified oscillator potential are obtained. © 2000 The American Physical Society. |
publishDate |
2000 |
dc.date.none.fl_str_mv |
2000-01-01 2022-04-29T08:26:50Z 2022-04-29T08:26:50Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevA.61.052114 Physical Review A - Atomic, Molecular, and Optical Physics, v. 61, n. 5, p. 8-, 2000. 1094-1622 1050-2947 http://hdl.handle.net/11449/228449 10.1103/PhysRevA.61.052114 2-s2.0-85037202689 |
url |
http://dx.doi.org/10.1103/PhysRevA.61.052114 http://hdl.handle.net/11449/228449 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 61, n. 5, p. 8-, 2000. 1094-1622 1050-2947 10.1103/PhysRevA.61.052114 2-s2.0-85037202689 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
8 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128388127260672 |